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Finding the Third Proportional to 99,366 and 147,699

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Solution

The third proportional to 99,366 and 147,699 is: 219,541.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,366 : 147,699 = 147,699 : x
  2. Step 2: Convert to fraction form
    99,366/147,699 = 147,699/x
  3. Step 3: Cross multiply
    99,366x = 147,699 × 147,699
  4. Step 4: Simplify right side
    99,366x = 21,814,994,601
  5. Step 5: Solve for x
    x = 21,814,994,601/99,366
  6. Step 6: Final answer
    x = 219,541.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.